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Finding the Third Proportional to 46,170 and 98,658

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Solution

The third proportional to 46,170 and 98,658 is: 210,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170 : 98,658 = 98,658 : x
  2. Step 2: Convert to fraction form
    46,170/98,658 = 98,658/x
  3. Step 3: Cross multiply
    46,170x = 98,658 × 98,658
  4. Step 4: Simplify right side
    46,170x = 9,733,400,964
  5. Step 5: Solve for x
    x = 9,733,400,964/46,170
  6. Step 6: Final answer
    x = 210,816.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.